Automorphic number

Results: 125



#Item
71Automorphic forms / Number theory / Conjectures / Analytic number theory / Shimura variety / Galois module / Iwasawa theory / Complex multiplication / Langlands program / Abstract algebra / Mathematics / Class field theory

LIST OF PUBLICATIONS OF EKNATH GHATE 1. Critical values of the twisted tensor L-function in the imaginary quadratic case. • Duke Math. J. 96, no[removed]), 595–[removed]Critical values of the twisted tensor L-functio

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Source URL: www.math.tifr.res.in

Language: English - Date: 2014-09-23 08:51:50
72Hodge theory / Field theory / Galois theory / Number theory / Galois module / P-adic Hodge theory / Weil group / Algebraic number field / Hodge structure / Abstract algebra / Algebra / Algebraic number theory

(p, p)-GALOIS REPRESENTATIONS ATTACHED TO AUTOMORPHIC FORMS ON GLn EKNATH GHATE AND NARASIMHA KUMAR Abstract. We study the local reducibility at p of the p-adic Galois representation attached to a cuspidal automorphic re

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Language: English - Date: 2011-11-01 06:31:16
73Modular form / Complex number / Transcendental numbers / Operator theory / Hecke operator / Theorems and definitions in linear algebra / Mathematical analysis / Moduli theory / Analytic number theory

A HECKE CORRESPONDENCE THEOREM FOR NONANALYTIC AUTOMORPHIC INTEGRALS PAUL C. PASLES Abstract. In this paper we prove a Riemann-Hecke-Bochner correspondence for nonanalytic automorphic integrals on the Hecke groups. We al

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Source URL: pasles.org

Language: English - Date: 2010-08-31 13:27:07
74Automorphic forms / Langlands program / Representation theory of Lie groups / Automorphic L-function / Cuspidal representation / Whittaker model / Fourier series / Gelfand pair / Abstract algebra / Group theory / Representation theory

ON THE SL(2) PERIOD INTEGRAL By U. K. ANANDAVARDHANAN and DIPENDRA PRASAD Abstract. Let E/F be a quadratic extension of number fields. For a cuspidal representation π of SL2 (AE ), we study in this paper the integral

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Language: English - Date: 2006-12-22 11:45:58
75Representation theory of Lie groups / Automorphic forms / Representation theory / Cuspidal representation / Conjectures / Number theory / Modular form / Algebraic number field / Weil group / Abstract algebra / Algebra / Class field theory

Journal of Number Theory 80, 2543[removed]Article ID jnth[removed], available online at http:www.idealibrary.com on Tate Cycles on a Product of Two Hilbert Modular Surfaces V. Kumar Murty 1

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Language: English - Date: 2006-11-07 21:06:58
76Fourier analysis / Algebraic number field / Convolution / Fourier transform / Pontryagin duality / Eisenstein series / Representation theory / Rankin–Selberg method / Mathematical analysis / Abstract algebra / Mathematics

INTEGRAL MOMENTS OF AUTOMORPHIC L–FUNCTIONS Adrian Diaconu Paul Garrett Abstract. We obtain second integral moments of automorphic L–functions on adele groups GL2 over arbitrary number fields, by a spectral decompos

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Source URL: www.math.umn.edu

Language: English - Date: 2008-05-08 14:22:24
77Automorphic forms / Conjectures / Number theory / Induced representation / Admissible representation / Langlands program / Jacquet module / Steinberg representation / Discrete series representation / Abstract algebra / Representation theory of Lie groups / Representation theory

The space of degenerate Whittaker models for GL(4) over p-adic fields Dipendra Prasad February 23, [removed]

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Language: English - Date: 2007-02-23 14:07:10
78Analytic number theory / Modular form / Moduli theory / Dirichlet character / Hecke character / Algebraic number field / Symbol / Spectral theory of ordinary differential equations / Abstract algebra / Mathematics / Mathematical analysis

SUBCONVEXITY BOUNDS FOR AUTOMORPHIC L–FUNCTIONS A. Diaconu and P. Garrett Abstract. We break the convexity bound in the t–aspect for L–functions attached to cuspforms f for GL2 (k) over arbitrary number fields k.

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Source URL: www.math.umn.edu

Language: English - Date: 2009-07-09 11:55:50
79Harmonic analysis / Functional equation / Algebraic number field / Pontryagin duality / Dirichlet character / Dirichlet L-function / Abstract algebra / Mathematical analysis / Mathematics

SMR[removed]Summer School and Conference on Automorphic Forms and Shimura Varieties[removed]July 2007

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Language: English - Date: 2009-06-14 04:53:26
80Automorphic forms / Class field theory / Representation theory of Lie groups / Conjectures / Langlands program / Local Langlands conjectures / Cuspidal representation / Weil group / Artin L-function / Abstract algebra / Algebra / Mathematics

ON THE GLOBAL ROOT NUMBERS OF GL(n) × GL(m) DIPENDRA PRASAD AND DINAKAR RAMAKRISHNAN To Professor G. Shimura 1. Introduction Let F be a number field, n, m ≥ 1, and π = ⊗0v πv , π 0 = ⊗0v πv0 cuspidal, unitary

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Source URL: www.math.tifr.res.in

Language: English - Date: 2006-11-13 17:25:25
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